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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Semigroup properties of factors in the polar decomposition or the operator De-Moivre formula
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by Ximena Catepillán and Wacław Szymański PDF
Proc. Amer. Math. Soc. 126 (1998), 3521-3526 Request permission

Abstract:

We give necessary and sufficient conditions under which the factors in the polar decomposition of a semigroup homomorphism are themselves semigroup homomorphisms.
References
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Additional Information
  • Ximena Catepillán
  • Affiliation: Department of Mathematics, Millersville University, Millersville, Pennsylvania 17551
  • Email: xcatepil@marauder.millersv.edu
  • Wacław Szymański
  • Affiliation: Department of Mathematics, West Chester University, West Chester, Pennsylvania 19383
  • Email: wszymans@wcupa.edu
  • Received by editor(s): January 21, 1997
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 3521-3526
  • MSC (1991): Primary 47B20, 47D03
  • DOI: https://doi.org/10.1090/S0002-9939-98-04952-1
  • MathSciNet review: 1618713